Investigation of the Quantum Correlations for a S=1/2 Ising- Heisenberg Model on a Symmetrical Diamond Chain

Abstract

We consider the quantum correlations for a S=1/2 Ising- Heisenberg model of a symmetrical diamond chain. Firstly, we compare concurrence, quantum discord and 1- norm geometric quantum discord of an ideal diamond chain in the absence of magnetic field. The results show no simple ordering relations between these quantum correlations, so that quantum discord may be smaller or larger than the 1-norm geometric quantum discord, which this observation contradict the previous result that provided by F. M. Paula [1]. Symmetrical behavior of quantum correlation versus ferromagnetic and anti- ferromagnetic coupling constant J is considerable. The effect of external magnetic field H and temperature- dependence is also considered. Furthermore, we study quantum discord and geometric measure of quantum discord with the effect of next nearest neighbor interaction between nodal Ising sites for a generalized diamond chain, and we observe coexistence of phases with different values of magnetic field for quantum correlations. Moreover, entanglement sudden death occurs while quantum discord, 1- norm geometric quantum discord and geometric quantum discord are immune from sudden death.

12 pages, 7 figures

References in corpus (11)

• Entanglement detection
• Necessary and sufficient condition for non-zero quantum discord
• On the quantum, classical and total amount of correlations in a quantum state
• Operational Significance of Discord Consumption: Theory and Experiment
• Quantum Error Correcting Codes Using Qudit Graph States
• Geometric frustration in the class of exactly solvable Ising-Heisenberg diamond chains
• Quantum resources for hybrid communication via qubit-oscillator states
• Quantum-correlating power of local quantum channels
• Exactly solvable mixed-spin Ising-Heisenberg diamond chain with the biquadratic interactions and single-ion anisotropy
• Phase diagram of the asymmetric tetrahedral Ising-Heisenberg chain
• Spinless fermion model on diamond chain

Cited by in corpus (6)

• On the absence of actual plateaus in zero-temperature magnetization curves of quantum spin clusters and chains
• Thermal entanglement in a spin-1/2 Ising-XYZ distorted diamond chain with the second-neighbor interaction between nodal Ising spins
• Exactly solved mixed spin-(1,1/2) Ising-Heisenberg distorted diamond chain
• Exactly solvable spin-1 Ising-Heisenberg diamond chain with the second-neighbor interaction between nodal spins
• Quantum correlations in Ising-XYZ diamond chain structure under an external magnetic field
• Navigating the phase diagram of quantum many-body systems in phase space